Quadratic Functions — Unit test Answers

The data set represents a progression of hourly temperature measurements. Use a graphing calculator to determine the quadratic regression equation for this data set. Round all coefficients to the nearest thousandth. x 0 1 2 3 4 5 y 20 16 10 0 -7 -20 Which equation best represents the quadratic regression model for this data? a. c. b. d.

Interpret the following exponential function: What is the growth/decay factor? What is the y-intercept?

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

Interpret the following exponential function: What is the growth/decay factor? What is the y-intercept?

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Using the quadratic regression equation predict what your stopping distance would be if you were going 80 miles per hour.

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. The exponential regression equation was found to be where x represents the number of years since 2000. Use the regression equation to predict the number of VHS movies in 2011. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.4 5.2 4.5 3.8 3.1

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Decide which scatterplot is representative of the data and determine if the data would be better modeled by a linear model or by an exponential model. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.3 5.5 4.1 3.8 3.1 Graph A Graph B

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 24 -1 16.8 0 11.76 1 8.232 2 5.7624 a. c. b. d. Please select the best answer from the choices provided

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

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When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

When x = 3, y = 16 and when x = 6, y = 8. Which inverse variation equation can be used to model this function?

You are working part-time for an electronics company while going to high school. The following table shows the hourly wage, w(t), in dollars, that you earn as a function of time, t. Time is measured in years since the beginning of 2004 when you started working. TIME, t, Years since 2004 0 1 2 3 4 5 Hourly wage, w($) 9.00 9.90 10.90 12.00 13.2 14.5 Write an exponential equation that models the data in the table. a. c. b. d. Please select the best answer from the choices provided

If $5000 is invested at an interest rate of 4% each year, what is the value of the investment in 5 years? Write an exponential function and solve.

Determine which of the following graphs represent the equation below. Also determine the y-intercept of the graph.

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

From the table below, determine whether the data shows an exponential function. Explain why or why not. x321–1y820.50.125